16039502807040 has 1152 divisors, whose sum is σ = 61315792957440. Its totient is φ = 3963617280000.

The previous prime is 16039502806913. The next prime is 16039502807071. The reversal of 16039502807040 is 4070820593061.

16039502807040 is a `hidden beast` number, since 1 + 6 + 0 + 39 + 502 + 8 + 0 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21357526665 + ... + 21357527415.

It is an arithmetic number, because the mean of its divisors is an integer number (53225514720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅16039502807040 = 32079005614080, but 3⋅16039502807040 = 48118508421120 is not.

Almost surely, 2^{16039502807040} is an apocalyptic number.

16039502807040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16039502807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30657896478720).

16039502807040 is an abundant number, since it is smaller than the sum of its proper divisors (45276290150400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16039502807040 is an frugal number, since it uses more digits than its factorization.

16039502807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16039502807040 in words is "sixteen trillion, thirty-nine billion, five hundred two million, eight hundred seven thousand, forty".